Problem

$315 \frac{7}{8} \times 1 \frac{1}{4} \times 3 \frac{1}{2}$

Answer

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Answer

Finally, convert the simplified fraction back to a mixed number. This gives us the final answer: $\boxed{1381 \frac{61}{64}}$.

Steps

Step 1 :Convert each mixed number into an improper fraction. So, $315 \frac{7}{8}$ becomes $\frac{2527}{8}$, $1 \frac{1}{4}$ becomes $\frac{5}{4}$, and $3 \frac{1}{2}$ becomes $\frac{7}{2}$.

Step 2 :Next, multiply the three fractions together. This gives us $\frac{2527}{8} \times \frac{5}{4} \times \frac{7}{2} = \frac{88445}{64}$.

Step 3 :Then, simplify the resulting fraction. This gives us a whole part of 1381 and a fraction part of $\frac{61}{64}$.

Step 4 :Finally, convert the simplified fraction back to a mixed number. This gives us the final answer: $\boxed{1381 \frac{61}{64}}$.

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